where the local function \(f_i\)  is only known to node \(i\) . Each node aims to find an optimal solution \(\mathbf {x}^\star \in \operatornamewithlimits{\text{argmin}}f(\mathbf {x})\)  by communicating with only a subset of nodes that are defined as its neighbors. Such a distributed model has been shown to achieve promising results in formation control [1]}, multi-agent consensus [2]}, networked resource allocation [3]}, and empirical risk minimization problems [4]}.
